Solving the Problem of Calculating Force and Torque on a Door

  • Thread starter Thread starter asura
  • Start date Start date
  • Tags Tags
    Force Torque
AI Thread Summary
To calculate the torque on a door when a force is applied at an angle, the relevant equation is T = Fd. For part (a), the required force to produce a torque of 2.12 N·m at an angle of 55.4° and a distance of 0.33 m from the hinge is determined to be 7.8 N. For part (b), maximum torque occurs when the angle is 90°, as torque is maximized when the force is applied perpendicularly to the lever arm. The maximum torque can be calculated by using the maximum effective distance from the hinge, which is the product of the force and the distance at that angle. Understanding these principles clarifies how to approach torque calculations effectively.
asura
Messages
14
Reaction score
0
Problem:

A force is applied to a door at an angle of 55.4° and 0.33 m from the hinge.
(a) What force produces a torque with a magnitude of 2.12 N·m?
(b) How large is the maximum torque this force can exert?

Relevant Equations:
T=Fd

My Attempt
I could do part a (force is 7.8 N), but I don't understand how to do part b. How do you determine maximum torque when you only have the force?
 
Physics news on Phys.org
If you know the magnitude of the force, the only things left to change are the angle or the distance from the hinge. If you change the distance, there is no maximum so I'm guessing you'll want to consider which angle produces maximum torque. But that's only a guess. Another badly written question.
 
Torque

do you go to Glen A Wilson from hacienda heights?
 
Last edited:
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Does distance affect torque in hanging sign problem?
Replies
42
Views
4K
Three equal forces applied to a rectangle, find net torque direction?
Replies
30
Views
4K
Torque in a parallel combination of springs
Replies
8
Views
1K
Where on a rigid body is a resultant force applied?
Replies
11
Views
1K
Torque and forces (Beginner level)
Replies
14
Views
3K
What is the force exerted by each hinge on the door?
Replies
3
Views
12K
Force on a rotating wheel/disc
Replies
25
Views
2K
Basics of forces/torques and fulcrum
Replies
6
Views
2K
Calculating torque about a point with given forces
Replies
5
Views
2K
Calculating Motor Force & Torque
Replies
9
Views
828

Hot Threads

Recent Insights

Back
Top